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%z PERSPECTIVE.
Fig. to cut SQ^ in g. Then draw flg for the image of
32. FG. For (by Prop. III.) the imasre flg will be
parallel to FG or to PQ^ And (by^Prop. XIV.)
it will be terminated in the line SQ.
PROB. VIII.
A right lined figure in the geometrical plane being
given ; to find its reprefentation in the pidure.
Find the appearances of all the angular points
thereof in the piaure fby Prob. VI.) and draw
lines from one to another, as in the original.
Or find the appearances of all the lines that compofe it, one after another (by Prob. VIIJ and that
will give the image of the whole figure.
And here all lines, perpendicular to the ground
line, muft have their images drawn to the point of
fight; and all lines parallel to the piaure, will
have their reprefentations parallel. By this means
feveral fhort methods of working, efpecially in regular figures, will appear of themfelves.
S3-
34.
Ex. 1.
Let NOPR be a fquare, whofe fide NR is parallel to the ground line AB. DE the horizontal
line, S the point of fight. Make CF rr CN, and
CA rr CO. OC and PI being perp. to AB. From
S draw SC, SI, and FE to interfect it in n and p -,
draw nr, op parallel to AB, and nopr is the image
or reprefentation of the fquare NOPR.
For fince CN rz CF, » is the image of N ; and
CA being rr CO rr IP rr IF, therefore p is the
image of P, and therefore nopr is the image of
NOPR.
Let LMNOP be a regular pentagon, DE the
horizontal line, S the point of fight, AB the ground
line.

%z PERSPECTIVE.
Fig. to cut SQ^ in g. Then draw flg for the image of
32. FG. For (by Prop. III.) the imasre flg will be
parallel to FG or to PQ^ And (by^Prop. XIV.)
it will be terminated in the line SQ.
PROB. VIII.
A right lined figure in the geometrical plane being
given ; to find its reprefentation in the pidure.
Find the appearances of all the angular points
thereof in the piaure fby Prob. VI.) and draw
lines from one to another, as in the original.
Or find the appearances of all the lines that compofe it, one after another (by Prob. VIIJ and that
will give the image of the whole figure.
And here all lines, perpendicular to the ground
line, muft have their images drawn to the point of
fight; and all lines parallel to the piaure, will
have their reprefentations parallel. By this means
feveral fhort methods of working, efpecially in regular figures, will appear of themfelves.
S3-
34.
Ex. 1.
Let NOPR be a fquare, whofe fide NR is parallel to the ground line AB. DE the horizontal
line, S the point of fight. Make CF rr CN, and
CA rr CO. OC and PI being perp. to AB. From
S draw SC, SI, and FE to interfect it in n and p -,
draw nr, op parallel to AB, and nopr is the image
or reprefentation of the fquare NOPR.
For fince CN rz CF, » is the image of N ; and
CA being rr CO rr IP rr IF, therefore p is the
image of P, and therefore nopr is the image of
NOPR.
Let LMNOP be a regular pentagon, DE the
horizontal line, S the point of fight, AB the ground
line.